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Finding the Third Proportional to 44,289 and 66,312

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Solution

The third proportional to 44,289 and 66,312 is: 99,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,289 : 66,312 = 66,312 : x
  2. Step 2: Convert to fraction form
    44,289/66,312 = 66,312/x
  3. Step 3: Cross multiply
    44,289x = 66,312 × 66,312
  4. Step 4: Simplify right side
    44,289x = 4,397,281,344
  5. Step 5: Solve for x
    x = 4,397,281,344/44,289
  6. Step 6: Final answer
    x = 99,286.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.